Question on: JAMB Mathematics - 1998
Solve for the equation (\sqrt{x}) - (\sqrt{(x - 2)}) - 1 = 0
A
\(\frac{3}{2}\)
B
\(\frac{2}{3}\)
C
\(\frac{4}{9}\)
D
\(\frac{9}{4}\)
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Correct Option: D
(\sqrt{x}) - (\sqrt{(x - 2)}) - 1 = 0
= (\sqrt{x}) - (\sqrt{(x - 2)}) = 1
= ((\sqrt{x}) - (\sqrt{(x - 2)}))2 = 1
= x - 2 (\sqrt{x(x - 2)}) + x -2 = 1
= (2x - 3)2 = [2 (\sqrt{x(x - 4)})]2
= 4x2 - 12x + 9
= 4(x2 - 2x)
= 4x2 - 12x + 9
= 4x2 - 8x
4x = 9
x = (\frac{9}{4})
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